Least Common Multiple of 921/63, 426/64, 330/310

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 921/63, 426/64, 330/310 quickly i.e. 7193010 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 921/63, 426/64, 330/310 is 7193010.

LCM(921/63, 426/64, 330/310) = 7193010

LCM of 921/63, 426/64, 330/310

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 921/63,426/64,330/310

Given numbers are 921/63,426/64,330/310

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 921,426,330

Least Common Multiple of Numerators i.e. LCM of 921,426,330 is 7193010.

GCF of Denominators means GCF of 63,64,310 as per the given fractions.

GCF of 63,64,310 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 921,426,330

LCM of Fractions 921/63,426/64,330/310 is 7193010

2 921, 426, 330
3 921, 213, 165
307, 71, 55

∴ So the LCM of the given numbers is 2 x 3 x 307 x 71 x 55 = 7193010

Least Common Multiple of 921,426,330 with GCF Formula

Least Common Multiple of 921,426,330 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 921,426,330 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(921,426,330) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(921,426,330) x common factors =3 x 6 = 18

LCM(921,426,330) = ( 921 × 426 × 330 ) / 18

LCM(921,426,330) = 129474180 / 18

LCM(921,426,330) = 7193010


Lets's calculate GCF of 63,64,310

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7193010/1

Therefore the LCM of Fractions 921/63,426/64,330/310 is 7193010

Greatest Common Factor of 63,64,310 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,64,310 By Matching Biggest Common Factor Method

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Greatest Common Factor

We found the factors 63,64,310 . The biggest common factor number is the GCF number.
So the greatest common factor 63,64,310 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 921/63, 426/64, 330/310

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 921/63, 426/64, 330/310?

Answer: LCM of Numerators as per given numbers 921/63, 426/64, 330/310 is

LCM of Numerators i.e. for 921,426,330 is 7193010

GCF of denominators i.e. for 63,64,310 is 1.

Thus, LCM of Fractions is 7193010.Finally, LCM of Fractions for 921/63, 426/64, 330/310 is 7193010.